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The Collins formula in spatial frequency domain is generalized into axially nonsymmetrical optical system in terms of tensor analysis method.

运用张量分析方法把轴对称系统中的空间频率域的柯林斯公式推广到一般的非轴对称光学系统，并推导了在空间频率域中适用于非轴对称光学系统的张量ABCD定律。

Experiments were performed on both synthetic second-order tensor field and real diffusion tensor data set.

在合成二阶张量场和真实扩散张量数据集上进行了实验。

The comparison of objective results and subjective evaluation of the filtered images indicate that the proposed filtering method can effectively remove noise and keep tensor field details unchanged.

客观结果比较和滤波图像的主观评估表明：该滤波方法可在保持张量场细节不变的同时有效地消除噪声，是磁共振扩散张量场的一种有价值的滤波工具。

A spacetime point with a frame is proposed to be related to a skew-symmetric tensor field of degree 3 defined on Minkowski space, the field consisting of elements in a fixed tensor set.

场中的张量取自于一个固定的张量集合，我们得到了Riemann正则坐标下引力场的一个级数表示式。

According to the similar nature of gravitational field and electrostatic field, using analogy method, the stress tensor in gravitational field is obtained from Maxwells stress tensor in electrostatic field, and the universal gravitation inside t

文摘：根据引力场和静电场的相似性质，通过类比方法由静电场的麦克斯韦应力张量得出了引力场中的应力张量，并用它计算了均质球体内部的万有引力。

According to the similar nature of gravitational field and electrostatic field, using analogy method, the stress tensor in gravitational field is obtained from Maxwells stress tensor in electrostatic field, and the universal gravitation inside the isotropic spheroid is calculated with the obtained result.

文摘：根据引力场和静电场的相似性质，通过类比方法由静电场的麦克斯韦应力张量得出了引力场中的应力张量，并用它计算了均质球体内部的万有引力。

Full pipeline through tensor estimation,DTI parameter image computing,tensor field visualization,fiber tracking and visualization procedures are implemented.

该系统提供了从扩散张量图像的估计重建、各种导出参数图像的生成、张量场可视化和纤维跟踪与可视化在内的完整的DTI处理与分析功能。

According the characteristic of tensor filed can externalize the local exposure information in image,this paper introduces an image de-noising method which uses the local exposure information of tensor field to control filter.

郑州大学电气工程学院，郑州 450001摘要利用张量场能体现图像各个局部的朝向信息的特点，提出利用张量场局部朝向信息控制滤波器对图像进行去噪处理的方法。

Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

In order to improve the accuracy in micromagnetic simulation of complex boundary, derived were the point function demagnetization tensor of equilateral triangular prisms in terms of the symmetry of the magnetic body and a theorem about demagnetization tensor.

针对数值微磁学中矩形网格处理复杂边界时计算精度较低的问题，利用磁体本身的几何对称性和退磁张量的性质，通过在实空间求积分的方法解析地推导了等边三棱柱的退磁张量。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新